A decision maker wishes to test the following null and alternative hypotheses using an alpha level equal to 0.05: H₀ : μ₁ - μ₂ = 0
H_A : μ₁ - μ₂ ≠ 0
The population standard deviations are assumed to be known.After collecting the sample data,the test statistic is computed to be z = 1.78
Using the p-value approach,what decision should be reached about the null hypothesis?

Question

A decision maker wishes to test the following null and alternative hypotheses using an alpha level equal to 0.05: H₀ : μ₁ - μ₂ = 0 H_A : μ₁ - μ₂ ≠ 0 The population standard deviations are assumed to be known.After collecting the sample data,the test statistic is computed to be z = 1.78 Using the p-value approach,what decision should be reached about the null hypothesis? A)Since p-value = 0.0018 < α/2 = 0.025,reject the null hypothesis B)Since p-value = 0.0415 > α/2 = 0.025,do not reject the null hypothesis. C)Since p-value = 0.0033 < α/2 = 0.025,reject the null hypothesis. D)Since p-value = 0.0375 > α/2 = 0.025,do not reject the null hypothesis.

Quizplus · Accepted Answer

The Answer of A decision maker wishes to test the following null and alternative hypotheses using an alpha level equal to 0.05: H₀ : μ₁ - μ₂ = 0 H_A : μ₁ - μ₂ ≠ 0 The population standard deviations are assumed to be known.After collecting the sample data,the test statistic is computed to be z = 1.78 Using the p-value approach,what decision should be reached about the null hypothesis? A)Since p-value = 0.0018 < α/2 = 0.025,reject the null hypothesis B)Since p-value = 0.0415 > α/2 = 0.025,do not reject the null hypothesis. C)Since p-value = 0.0033 < α/2 = 0.025,reject the null hypothesis. D)Since p-value = 0.0375 > α/2 = 0.025,do not reject the null hypothesis.

A Decision Maker Wishes to Test the Following Null and Alternative